Unverified
2026
Spherical-Design Prototype Initialization
Initialize directional prototypes, cosine-classifier weights, or angular attention directions with a spherical t-design rather than iid random vectors. Exact matching of spherical moments through degree t should provide uniform angular coverage and reduce initialization anisotropy, especially when the number of prototypes is small.
Paper: Dual Geometry of Spherical Designs: Polarity, Self-Polar Rigidity, and Quadrature Structure
arXiv:2609.02439